Geodesic Motions near an improved Schwarzschild black hole

Abstract

In this paper, we studied the geodesics of timelike and null like particles near an improved Schwarzschild black hole. The lapse function has been plotted and was found that only one horizon is possible. The equation of motion and effective potential of test particle have been calculated. This equation has an importance in studying the radial free fall and in studying the stability of radial orbits (trajectories). The energy and angular momentum have also been calculated to analysis the cicrular motion and stability of circular orbits. Moreover, Innermost stable circular orbit radius has determined. To get a deeper insight of the nature of these trajectories, we have studied the timelike and null geodesics with the help of the dynamical systems approach. This analysis help us to determine the stability as well as fixed point of phase space trajectories.

18 pages, 6 figures, Accepted for publication in General Relativity and Gravitation

References in corpus (5)

• Geodesic equation in Schwarzschild--(anti-)de Sitter space--times: Analytical solutions and applications
• Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
• Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times
• Quasinormal modes of an improved Schwarzschild black hole
• Warped product spaces and geodesic motion in the neighbourhood of hypersurfaces

Cited by in corpus (4)

• Charged spinning and magnetized test particles orbiting quantum improved charged black holes
• Different Regular Black Holes: Geodesic Structures of Test Particles
• Lyapunov exponents and geodesic stability of Schwarzschild black hole in the non-commutative gauge theory of gravity
• Geodesic structure of a noncommutative black hole